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420565464 = 233211531017
BaseRepresentation
bin11001000100010…
…101000111011000
31002022100221100200
4121010111013120
51330131043324
6105422102200
713264514244
oct3104250730
91068327320
10420565464
111a6442070
12b8a1a960
1369192207
143dbd9424
1526dc6ec9
hex191151d8

420565464 has 48 divisors (see below), whose sum is σ = 1242582120. Its totient is φ = 127443840.

The previous prime is 420565459. The next prime is 420565471. The reversal of 420565464 is 464565024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264717 + ... + 266300.

Almost surely, 2420565464 is an apocalyptic number.

420565464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420565464 is an abundant number, since it is smaller than the sum of its proper divisors (822016656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420565464 is a wasteful number, since it uses less digits than its factorization.

420565464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531040 (or 531033 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 420565464 is about 20507.6928005078. The cubic root of 420565464 is about 749.2231743336.

The spelling of 420565464 in words is "four hundred twenty million, five hundred sixty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 531017 1062034 1593051 2124068 3186102 4248136 4779153 5841187 6372204 9558306 11682374 12744408 17523561 19116612 23364748 35047122 38233224 46729496 52570683 70094244 105141366 140188488 210282732 420565464